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1157337507150 = 23252112310165459
BaseRepresentation
bin10000110101110110101…
…100001110010101001110
311002122021211200220220200
4100311312230032111032
5122430211400212100
62243401251154330
7146420621332266
oct20656654162516
94078254626820
101157337507150
1140690793a840
12168371ba59a6
13851a0a519b6
14400304cc7a6
15201895cbe00
hex10d76b0e54e

1157337507150 has 144 divisors (see below), whose sum is σ = 3539531848320. Its totient is φ = 268368091200.

The previous prime is 1157337507149. The next prime is 1157337507191. The reversal of 1157337507150 is 517057337511.

1157337507150 is a `hidden beast` number, since 1 + 1 + 573 + 3 + 7 + 5 + 0 + 71 + 5 + 0 = 666.

It is a super-2 number, since 2×11573375071502 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1157337507096 and 1157337507105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4968880 + ... + 5196579.

It is an arithmetic number, because the mean of its divisors is an integer number (24580082280).

Almost surely, 21157337507150 is an apocalyptic number.

1157337507150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1157337507150 is an abundant number, since it is smaller than the sum of its proper divisors (2382194341170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1157337507150 is a wasteful number, since it uses less digits than its factorization.

1157337507150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10165511 (or 10165503 counting only the distinct ones).

The product of its (nonzero) digits is 385875, while the sum is 45.

The spelling of 1157337507150 in words is "one trillion, one hundred fifty-seven billion, three hundred thirty-seven million, five hundred seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 25 30 33 45 46 50 55 66 69 75 90 99 110 115 138 150 165 198 207 225 230 253 275 330 345 414 450 495 506 550 575 690 759 825 990 1035 1150 1265 1518 1650 1725 2070 2277 2475 2530 3450 3795 4554 4950 5175 6325 7590 10350 11385 12650 18975 22770 37950 56925 113850 10165459 20330918 30496377 50827295 60992754 91489131 101654590 111820049 152481885 182978262 223640098 233805557 254136475 304963770 335460147 457445655 467611114 508272950 559100245 670920294 701416671 762409425 914891310 1006380441 1118200490 1169027785 1402833342 1524818850 1677300735 2012760882 2104250013 2287228275 2338055570 2571861127 2795501225 3354601470 3507083355 4208500026 4574456550 5031902205 5143722254 5591002450 5845138925 7014166710 7715583381 8386503675 10063804410 10521250065 11690277850 12859305635 15431166762 16773007350 17535416775 21042500130 23146750143 25159511025 25718611270 35070833550 38577916905 46293500286 50319022050 52606250325 64296528175 77155833810 105212500650 115733750715 128593056350 192889584525 231467501430 385779169050 578668753575 1157337507150